Theorem dfom3 4624

Description: Alias for df-iom 4623. Use it instead of df-iom 4623 for naming consistency with set.mm. (Contributed by NM, 6-Aug-1994.)

Assertion

Ref	Expression
dfom3	|- om = |^| { x | ( (/) e. x /\ A. y e. x suc y e. x ) }

Distinct variable group:   x, y

Proof of Theorem dfom3

Step	Hyp	Ref	Expression
1		df-iom 4623	1 |- om = |^| { x | ( (/) e. x /\ A. y e. x suc y e. x ) }

Syntax hints:   /\ wa 104   = wceq 1364   e. wcel 2164   {cab 2179   A.wral 2472   (/)c0 3446   |^|cint 3870   suc csuc 4396   omcom 4622

This theorem depends on definitions:  df-iom 4623

This theorem is referenced by:  omex  4625  peano1  4626  peano2  4627  peano5  4630  bj-dfom  15425